GATE2020-ME-1: 21

Question

A balanced rigid disc mounted on a rigid rotor has four identical point masses, each of $10\:\text{grams}$, attached to four points on the $100\: mm$ radius circle shown in the figure.

                                  

The rotor is driven bt a motor at uniform angular speed of $10\: rad/s$. If one of the masses gets detached then the magnitude of the resultant unbalance force on the rotor is ________$N$ (rounded off to $2$ decimal places).